AnswersNBHS FL-1200370-Algebra 1-A Semester 1Writing and Graphing Equations in Two VariablesQuestion 5
5
QuizMultiple Choice

Writing and Graphing Equations in Two Variables

Question 5 • *NBHS FL-1200370-Algebra 1-A Semester 1

Julie needs to cut 4 pieces of yarn, each with the same length, and a piece of yarn 7.75 inches long. Let x represent the length of each of the equal pieces of yarn that Julie decides to cut. What is the equation that can be used to determine the total length of all of the yarn that she ends up cutting, y? Is the graph of the equation continuous or discrete?

Answer
A
y=7.75x+4; discrete
B
y=7.75x+4; continuous
C
y=4x+7.75; discrete
D
y=4x+7.75; continuous

Explanation

The four equal pieces have a total length of 4x inches. Adding the separate 7.75-inch piece gives y = 4x + 7.75. Since x represents a length and can take any value in a range, the graph is continuous. The correct choice is “y = 4x + 7.75; continuous.”

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